Properties

Label 927.2.y.a.781.14
Level $927$
Weight $2$
Character 927.781
Analytic conductor $7.402$
Analytic rank $0$
Dimension $3264$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [927,2,Mod(4,927)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(927, base_ring=CyclotomicField(102))
 
chi = DirichletCharacter(H, H._module([34, 88]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("927.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 927 = 3^{2} \cdot 103 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 927.y (of order \(51\), degree \(32\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.40213226737\)
Analytic rank: \(0\)
Dimension: \(3264\)
Relative dimension: \(102\) over \(\Q(\zeta_{51})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{51}]$

Embedding invariants

Embedding label 781.14
Character \(\chi\) \(=\) 927.781
Dual form 927.2.y.a.400.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.08877 + 0.809194i) q^{2} +(-1.38232 - 1.04364i) q^{3} +(2.23015 - 2.03305i) q^{4} +(-1.20031 + 4.21866i) q^{5} +(3.73186 + 1.06136i) q^{6} +(0.0718242 - 0.108394i) q^{7} +(-1.01620 + 2.04081i) q^{8} +(0.821627 + 2.88530i) q^{9} +O(q^{10})\) \(q+(-2.08877 + 0.809194i) q^{2} +(-1.38232 - 1.04364i) q^{3} +(2.23015 - 2.03305i) q^{4} +(-1.20031 + 4.21866i) q^{5} +(3.73186 + 1.06136i) q^{6} +(0.0718242 - 0.108394i) q^{7} +(-1.01620 + 2.04081i) q^{8} +(0.821627 + 2.88530i) q^{9} +(-0.906538 - 9.78310i) q^{10} +(1.58573 + 1.27603i) q^{11} +(-5.20456 + 0.482854i) q^{12} +(1.72892 - 2.60920i) q^{13} +(-0.0623128 + 0.284529i) q^{14} +(6.06198 - 4.57885i) q^{15} +(-0.0856852 + 0.924691i) q^{16} +(5.67999 - 3.05009i) q^{17} +(-4.05096 - 5.36186i) q^{18} +(0.0260569 + 0.0739441i) q^{19} +(5.89987 + 11.8485i) q^{20} +(-0.212408 + 0.0748761i) q^{21} +(-4.34478 - 1.38217i) q^{22} +(0.631381 + 4.06742i) q^{23} +(3.53458 - 1.76050i) q^{24} +(-12.1053 - 7.49526i) q^{25} +(-1.49996 + 6.84905i) q^{26} +(1.87546 - 4.84589i) q^{27} +(-0.0601909 - 0.387756i) q^{28} +(0.589391 - 2.07150i) q^{29} +(-8.95691 + 14.4695i) q^{30} +(7.18216 - 3.30432i) q^{31} +(-1.81708 - 6.38637i) q^{32} +(-0.860268 - 3.41881i) q^{33} +(-9.39609 + 10.9672i) q^{34} +(0.371064 + 0.433108i) q^{35} +(7.69830 + 4.76423i) q^{36} +(3.21467 - 4.25692i) q^{37} +(-0.114262 - 0.133367i) q^{38} +(-5.11299 + 1.80238i) q^{39} +(-7.38971 - 6.73661i) q^{40} +(-5.02184 - 1.26304i) q^{41} +(0.383082 - 0.328278i) q^{42} +(-0.145401 - 0.192542i) q^{43} +(6.13064 - 0.378125i) q^{44} +(-13.1583 + 0.00291146i) q^{45} +(-4.61014 - 7.98500i) q^{46} +(1.45356 + 2.51764i) q^{47} +(1.08349 - 1.18880i) q^{48} +(2.72191 + 6.43077i) q^{49} +(31.3502 + 5.86037i) q^{50} +(-11.0348 - 1.71166i) q^{51} +(-1.44889 - 9.33388i) q^{52} +(4.75875 - 5.55444i) q^{53} +(0.00386313 + 11.6396i) q^{54} +(-7.28650 + 5.15801i) q^{55} +(0.148222 + 0.256729i) q^{56} +(0.0411521 - 0.129409i) q^{57} +(0.445139 + 4.80381i) q^{58} +(1.65290 + 2.49447i) q^{59} +(4.21010 - 22.5358i) q^{60} +(9.40777 - 5.05187i) q^{61} +(-12.3280 + 12.7137i) q^{62} +(0.371760 + 0.118175i) q^{63} +(7.84400 + 10.3871i) q^{64} +(8.93208 + 10.4256i) q^{65} +(4.56339 + 6.44499i) q^{66} +(-0.659165 + 1.32378i) q^{67} +(6.46625 - 18.3499i) q^{68} +(3.37216 - 6.28142i) q^{69} +(-1.12554 - 0.604400i) q^{70} +(-0.790155 - 0.198732i) q^{71} +(-6.72327 - 1.25526i) q^{72} +(1.26031 + 4.42952i) q^{73} +(-3.27005 + 11.4930i) q^{74} +(8.91100 + 22.9944i) q^{75} +(0.208443 + 0.111931i) q^{76} +(0.252207 - 0.0802328i) q^{77} +(9.22138 - 7.90217i) q^{78} +(8.78712 + 9.06202i) q^{79} +(-3.79811 - 1.47139i) q^{80} +(-7.64986 + 4.74128i) q^{81} +(11.5115 - 1.42544i) q^{82} +(7.20717 + 14.4739i) q^{83} +(-0.321475 + 0.598821i) q^{84} +(6.04953 + 27.6230i) q^{85} +(0.459512 + 0.284518i) q^{86} +(-2.97663 + 2.24836i) q^{87} +(-4.21555 + 1.93946i) q^{88} +(-2.10938 - 1.92295i) q^{89} +(27.4823 - 10.6537i) q^{90} +(-0.158642 - 0.374807i) q^{91} +(9.67735 + 7.78733i) q^{92} +(-13.3766 - 2.92796i) q^{93} +(-5.07341 - 4.08256i) q^{94} +(-0.343221 + 0.0211692i) q^{95} +(-4.15329 + 10.7244i) q^{96} +(11.7274 - 7.26130i) q^{97} +(-10.8892 - 11.2298i) q^{98} +(-2.37885 + 5.62371i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 3264 q - 15 q^{2} - 29 q^{3} - 215 q^{4} - 11 q^{5} - 29 q^{6} - 17 q^{7} - 56 q^{8} - 19 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 3264 q - 15 q^{2} - 29 q^{3} - 215 q^{4} - 11 q^{5} - 29 q^{6} - 17 q^{7} - 56 q^{8} - 19 q^{9} - 56 q^{10} - 28 q^{11} + 2 q^{12} - 17 q^{13} + 65 q^{14} - 29 q^{15} - 203 q^{16} - 66 q^{17} - 34 q^{18} - 68 q^{19} + 43 q^{20} - 25 q^{21} - 11 q^{22} - 19 q^{23} - 46 q^{24} - 215 q^{25} - 52 q^{26} - 14 q^{27} - 56 q^{28} - 11 q^{29} - 18 q^{30} - 14 q^{31} - 11 q^{32} - 38 q^{33} - 17 q^{34} - 72 q^{35} - 257 q^{36} - 101 q^{37} - 52 q^{38} + 86 q^{39} + 19 q^{40} - 20 q^{41} + 2 q^{42} - 23 q^{43} - 72 q^{44} - 41 q^{45} - 40 q^{46} + 344 q^{47} - 317 q^{48} + 67 q^{49} - 41 q^{50} + 2 q^{51} - 14 q^{52} - 88 q^{53} + 15 q^{54} - 95 q^{55} + 55 q^{56} - 2 q^{57} - 11 q^{58} - 24 q^{59} + 271 q^{60} + 4 q^{61} - 90 q^{62} - 41 q^{63} - 224 q^{64} - 33 q^{65} - 292 q^{66} + 61 q^{67} + 381 q^{68} - 298 q^{69} - 11 q^{70} - 115 q^{71} + 15 q^{72} - 32 q^{73} - 31 q^{74} + 164 q^{75} - 23 q^{76} - 52 q^{77} - 2 q^{78} - 14 q^{79} - 152 q^{80} - 11 q^{81} - 62 q^{82} - 63 q^{83} - 89 q^{84} + 4 q^{85} + 105 q^{86} + 73 q^{87} - 2 q^{88} - 112 q^{89} - 68 q^{90} - 306 q^{91} - 66 q^{92} - 195 q^{93} + 27 q^{94} - 206 q^{95} - 53 q^{96} + 6 q^{97} - 46 q^{98} - 130 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).

\(n\) \(722\) \(829\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{13}{51}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.08877 + 0.809194i −1.47698 + 0.572187i −0.959051 0.283234i \(-0.908593\pi\)
−0.517933 + 0.855421i \(0.673298\pi\)
\(3\) −1.38232 1.04364i −0.798084 0.602546i
\(4\) 2.23015 2.03305i 1.11508 1.01653i
\(5\) −1.20031 + 4.21866i −0.536796 + 1.88664i −0.0806373 + 0.996744i \(0.525696\pi\)
−0.456159 + 0.889898i \(0.650775\pi\)
\(6\) 3.73186 + 1.06136i 1.52353 + 0.433298i
\(7\) 0.0718242 0.108394i 0.0271470 0.0409689i −0.819777 0.572683i \(-0.805903\pi\)
0.846924 + 0.531714i \(0.178452\pi\)
\(8\) −1.01620 + 2.04081i −0.359281 + 0.721534i
\(9\) 0.821627 + 2.88530i 0.273876 + 0.961765i
\(10\) −0.906538 9.78310i −0.286672 3.09369i
\(11\) 1.58573 + 1.27603i 0.478115 + 0.384737i 0.835738 0.549129i \(-0.185040\pi\)
−0.357623 + 0.933866i \(0.616413\pi\)
\(12\) −5.20456 + 0.482854i −1.50243 + 0.139388i
\(13\) 1.72892 2.60920i 0.479516 0.723662i −0.511222 0.859448i \(-0.670807\pi\)
0.990738 + 0.135787i \(0.0433562\pi\)
\(14\) −0.0623128 + 0.284529i −0.0166538 + 0.0760436i
\(15\) 6.06198 4.57885i 1.56520 1.18225i
\(16\) −0.0856852 + 0.924691i −0.0214213 + 0.231173i
\(17\) 5.67999 3.05009i 1.37760 0.739756i 0.393830 0.919184i \(-0.371150\pi\)
0.983771 + 0.179428i \(0.0574245\pi\)
\(18\) −4.05096 5.36186i −0.954819 1.26380i
\(19\) 0.0260569 + 0.0739441i 0.00597786 + 0.0169639i 0.946105 0.323859i \(-0.104980\pi\)
−0.940127 + 0.340823i \(0.889294\pi\)
\(20\) 5.89987 + 11.8485i 1.31925 + 2.64941i
\(21\) −0.212408 + 0.0748761i −0.0463512 + 0.0163393i
\(22\) −4.34478 1.38217i −0.926309 0.294680i
\(23\) 0.631381 + 4.06742i 0.131652 + 0.848116i 0.958376 + 0.285509i \(0.0921625\pi\)
−0.826724 + 0.562607i \(0.809798\pi\)
\(24\) 3.53458 1.76050i 0.721494 0.359361i
\(25\) −12.1053 7.49526i −2.42105 1.49905i
\(26\) −1.49996 + 6.84905i −0.294167 + 1.34321i
\(27\) 1.87546 4.84589i 0.360932 0.932592i
\(28\) −0.0601909 0.387756i −0.0113750 0.0732790i
\(29\) 0.589391 2.07150i 0.109447 0.384667i −0.887676 0.460469i \(-0.847681\pi\)
0.997123 + 0.0758021i \(0.0241517\pi\)
\(30\) −8.95691 + 14.4695i −1.63530 + 2.64176i
\(31\) 7.18216 3.30432i 1.28995 0.593473i 0.350633 0.936513i \(-0.385966\pi\)
0.939321 + 0.343040i \(0.111457\pi\)
\(32\) −1.81708 6.38637i −0.321217 1.12896i
\(33\) −0.860268 3.41881i −0.149753 0.595139i
\(34\) −9.39609 + 10.9672i −1.61142 + 1.88085i
\(35\) 0.371064 + 0.433108i 0.0627213 + 0.0732086i
\(36\) 7.69830 + 4.76423i 1.28305 + 0.794039i
\(37\) 3.21467 4.25692i 0.528489 0.699833i −0.452965 0.891528i \(-0.649634\pi\)
0.981454 + 0.191695i \(0.0613986\pi\)
\(38\) −0.114262 0.133367i −0.0185357 0.0216350i
\(39\) −5.11299 + 1.80238i −0.818733 + 0.288612i
\(40\) −7.38971 6.73661i −1.16842 1.06515i
\(41\) −5.02184 1.26304i −0.784280 0.197254i −0.169056 0.985607i \(-0.554072\pi\)
−0.615224 + 0.788352i \(0.710935\pi\)
\(42\) 0.383082 0.328278i 0.0591109 0.0506545i
\(43\) −0.145401 0.192542i −0.0221734 0.0293623i 0.786795 0.617214i \(-0.211739\pi\)
−0.808969 + 0.587851i \(0.799974\pi\)
\(44\) 6.13064 0.378125i 0.924229 0.0570045i
\(45\) −13.1583 + 0.00291146i −1.96152 + 0.000434014i
\(46\) −4.61014 7.98500i −0.679728 1.17732i
\(47\) 1.45356 + 2.51764i 0.212023 + 0.367235i 0.952348 0.305015i \(-0.0986614\pi\)
−0.740324 + 0.672250i \(0.765328\pi\)
\(48\) 1.08349 1.18880i 0.156388 0.171588i
\(49\) 2.72191 + 6.43077i 0.388844 + 0.918681i
\(50\) 31.3502 + 5.86037i 4.43359 + 0.828782i
\(51\) −11.0348 1.71166i −1.54518 0.239681i
\(52\) −1.44889 9.33388i −0.200924 1.29438i
\(53\) 4.75875 5.55444i 0.653665 0.762961i −0.329802 0.944050i \(-0.606982\pi\)
0.983467 + 0.181089i \(0.0579623\pi\)
\(54\) 0.00386313 + 11.6396i 0.000525705 + 1.58394i
\(55\) −7.28650 + 5.15801i −0.982512 + 0.695506i
\(56\) 0.148222 + 0.256729i 0.0198071 + 0.0343068i
\(57\) 0.0411521 0.129409i 0.00545073 0.0171406i
\(58\) 0.445139 + 4.80381i 0.0584496 + 0.630771i
\(59\) 1.65290 + 2.49447i 0.215189 + 0.324753i 0.925229 0.379408i \(-0.123872\pi\)
−0.710040 + 0.704161i \(0.751323\pi\)
\(60\) 4.21010 22.5358i 0.543521 2.90936i
\(61\) 9.40777 5.05187i 1.20454 0.646825i 0.256986 0.966415i \(-0.417271\pi\)
0.947556 + 0.319590i \(0.103545\pi\)
\(62\) −12.3280 + 12.7137i −1.56566 + 1.61464i
\(63\) 0.371760 + 0.118175i 0.0468374 + 0.0148886i
\(64\) 7.84400 + 10.3871i 0.980500 + 1.29839i
\(65\) 8.93208 + 10.4256i 1.10789 + 1.29313i
\(66\) 4.56339 + 6.44499i 0.561714 + 0.793324i
\(67\) −0.659165 + 1.32378i −0.0805298 + 0.161726i −0.931768 0.363053i \(-0.881734\pi\)
0.851239 + 0.524779i \(0.175852\pi\)
\(68\) 6.46625 18.3499i 0.784148 2.22525i
\(69\) 3.37216 6.28142i 0.405960 0.756194i
\(70\) −1.12554 0.604400i −0.134527 0.0722396i
\(71\) −0.790155 0.198732i −0.0937741 0.0235851i 0.196741 0.980455i \(-0.436964\pi\)
−0.290516 + 0.956870i \(0.593827\pi\)
\(72\) −6.72327 1.25526i −0.792344 0.147933i
\(73\) 1.26031 + 4.42952i 0.147508 + 0.518437i 0.999991 0.00431876i \(-0.00137471\pi\)
−0.852483 + 0.522755i \(0.824904\pi\)
\(74\) −3.27005 + 11.4930i −0.380135 + 1.33604i
\(75\) 8.91100 + 22.9944i 1.02895 + 2.65516i
\(76\) 0.208443 + 0.111931i 0.0239100 + 0.0128394i
\(77\) 0.252207 0.0802328i 0.0287416 0.00914338i
\(78\) 9.22138 7.90217i 1.04412 0.894744i
\(79\) 8.78712 + 9.06202i 0.988628 + 1.01956i 0.999808 + 0.0196194i \(0.00624544\pi\)
−0.0111791 + 0.999938i \(0.503558\pi\)
\(80\) −3.79811 1.47139i −0.424641 0.164507i
\(81\) −7.64986 + 4.74128i −0.849984 + 0.526808i
\(82\) 11.5115 1.42544i 1.27123 0.157413i
\(83\) 7.20717 + 14.4739i 0.791090 + 1.58872i 0.808229 + 0.588869i \(0.200427\pi\)
−0.0171389 + 0.999853i \(0.505456\pi\)
\(84\) −0.321475 + 0.598821i −0.0350758 + 0.0653368i
\(85\) 6.04953 + 27.6230i 0.656164 + 2.99614i
\(86\) 0.459512 + 0.284518i 0.0495505 + 0.0306803i
\(87\) −2.97663 + 2.24836i −0.319128 + 0.241050i
\(88\) −4.21555 + 1.93946i −0.449379 + 0.206747i
\(89\) −2.10938 1.92295i −0.223593 0.203832i 0.554145 0.832420i \(-0.313045\pi\)
−0.777739 + 0.628588i \(0.783633\pi\)
\(90\) 27.4823 10.6537i 2.89689 1.12300i
\(91\) −0.158642 0.374807i −0.0166302 0.0392905i
\(92\) 9.67735 + 7.78733i 1.00893 + 0.811885i
\(93\) −13.3766 2.92796i −1.38709 0.303616i
\(94\) −5.07341 4.08256i −0.523282 0.421083i
\(95\) −0.343221 + 0.0211692i −0.0352138 + 0.00217191i
\(96\) −4.15329 + 10.7244i −0.423893 + 1.09455i
\(97\) 11.7274 7.26130i 1.19074 0.737274i 0.219553 0.975601i \(-0.429540\pi\)
0.971185 + 0.238327i \(0.0765990\pi\)
\(98\) −10.8892 11.2298i −1.09997 1.13439i
\(99\) −2.37885 + 5.62371i −0.239083 + 0.565204i
\(100\) −42.2348 + 7.89505i −4.22348 + 0.789505i
\(101\) −9.68365 + 3.75146i −0.963559 + 0.373285i −0.791069 0.611727i \(-0.790475\pi\)
−0.172490 + 0.985011i \(0.555181\pi\)
\(102\) 24.4342 5.35400i 2.41935 0.530125i
\(103\) −8.78943 + 5.07405i −0.866048 + 0.499961i
\(104\) 3.56794 + 6.17986i 0.349865 + 0.605985i
\(105\) −0.0609209 0.985952i −0.00594528 0.0962191i
\(106\) −5.44532 + 15.4527i −0.528897 + 1.50090i
\(107\) 1.47759 + 6.74690i 0.142844 + 0.652247i 0.992224 + 0.124465i \(0.0397214\pi\)
−0.849380 + 0.527782i \(0.823024\pi\)
\(108\) −5.66939 14.6200i −0.545537 1.40681i
\(109\) −3.65029 1.96016i −0.349634 0.187750i 0.288869 0.957369i \(-0.406721\pi\)
−0.638504 + 0.769619i \(0.720446\pi\)
\(110\) 11.0460 16.6701i 1.05319 1.58943i
\(111\) −8.88641 + 2.52946i −0.843460 + 0.240086i
\(112\) 0.0940762 + 0.0757029i 0.00888937 + 0.00715325i
\(113\) 6.65919 4.71394i 0.626444 0.443451i −0.220314 0.975429i \(-0.570708\pi\)
0.846758 + 0.531979i \(0.178551\pi\)
\(114\) 0.0187594 + 0.303605i 0.00175698 + 0.0284352i
\(115\) −17.9169 2.21860i −1.67076 0.206885i
\(116\) −2.89702 5.81801i −0.268982 0.540189i
\(117\) 8.94884 + 2.84465i 0.827320 + 0.262988i
\(118\) −5.47104 3.87287i −0.503650 0.356526i
\(119\) 0.0773505 0.834745i 0.00709071 0.0765210i
\(120\) 3.18435 + 17.0244i 0.290690 + 1.55410i
\(121\) −1.46699 6.69846i −0.133362 0.608951i
\(122\) −15.5627 + 18.1649i −1.40898 + 1.64457i
\(123\) 5.62364 + 6.98693i 0.507066 + 0.629990i
\(124\) 9.29945 21.9708i 0.835115 1.97304i
\(125\) 29.9432 27.2968i 2.67820 2.44150i
\(126\) −0.872148 + 0.0539860i −0.0776971 + 0.00480945i
\(127\) −0.198255 + 0.696795i −0.0175923 + 0.0618306i −0.970125 0.242606i \(-0.921998\pi\)
0.952533 + 0.304437i \(0.0984683\pi\)
\(128\) −13.4989 8.35817i −1.19315 0.738765i
\(129\) 4.62332e−5 0.417900i 4.07060e−6 0.0367941i
\(130\) −27.0934 14.5488i −2.37625 1.27602i
\(131\) −13.0936 + 10.5364i −1.14399 + 0.920566i −0.997640 0.0686671i \(-0.978125\pi\)
−0.146351 + 0.989233i \(0.546753\pi\)
\(132\) −8.86915 5.87550i −0.771960 0.511396i
\(133\) 0.00988658 + 0.00248658i 0.000857275 + 0.000215613i
\(134\) 0.305648 3.29847i 0.0264040 0.284944i
\(135\) 18.1920 + 13.7285i 1.56572 + 1.18156i
\(136\) 0.452633 + 14.6913i 0.0388130 + 1.25977i
\(137\) 9.81575 11.4570i 0.838616 0.978837i −0.161352 0.986897i \(-0.551585\pi\)
0.999968 + 0.00806044i \(0.00256575\pi\)
\(138\) −1.96077 + 15.8492i −0.166912 + 1.34917i
\(139\) −8.03339 + 16.1332i −0.681383 + 1.36840i 0.236531 + 0.971624i \(0.423989\pi\)
−0.917915 + 0.396778i \(0.870128\pi\)
\(140\) 1.70806 + 0.211504i 0.144357 + 0.0178753i
\(141\) 0.618223 4.99718i 0.0520638 0.420838i
\(142\) 1.81127 0.224283i 0.151998 0.0188214i
\(143\) 6.07101 1.93133i 0.507683 0.161506i
\(144\) −2.73841 + 0.512524i −0.228201 + 0.0427103i
\(145\) 8.03148 + 4.97288i 0.666978 + 0.412976i
\(146\) −6.21684 8.23243i −0.514509 0.681320i
\(147\) 2.94886 11.7301i 0.243218 0.967481i
\(148\) −1.48532 16.0292i −0.122093 1.31759i
\(149\) −10.3486 + 17.9243i −0.847791 + 1.46842i 0.0353847 + 0.999374i \(0.488734\pi\)
−0.883175 + 0.469043i \(0.844599\pi\)
\(150\) −37.2200 40.8193i −3.03900 3.33288i
\(151\) 0.242353 + 2.61541i 0.0197224 + 0.212839i 0.999892 + 0.0146795i \(0.00467279\pi\)
−0.980170 + 0.198159i \(0.936504\pi\)
\(152\) −0.177385 0.0219650i −0.0143878 0.00178159i
\(153\) 13.4673 + 13.8824i 1.08876 + 1.12233i
\(154\) −0.461878 + 0.371672i −0.0372192 + 0.0299502i
\(155\) 5.31896 + 34.2653i 0.427229 + 2.75225i
\(156\) −7.73840 + 14.4145i −0.619567 + 1.15409i
\(157\) −1.70504 4.02832i −0.136077 0.321495i 0.838729 0.544549i \(-0.183299\pi\)
−0.974806 + 0.223054i \(0.928397\pi\)
\(158\) −25.6872 11.8180i −2.04357 0.940189i
\(159\) −12.3750 + 2.71159i −0.981399 + 0.215043i
\(160\) 29.1230 2.30237
\(161\) 0.486231 + 0.223702i 0.0383203 + 0.0176302i
\(162\) 12.1422 16.0937i 0.953980 1.26444i
\(163\) 6.29917 14.8824i 0.493389 1.16568i −0.466303 0.884625i \(-0.654414\pi\)
0.959692 0.281053i \(-0.0906838\pi\)
\(164\) −13.7673 + 7.39288i −1.07504 + 0.577287i
\(165\) 15.4554 + 0.474464i 1.20320 + 0.0369370i
\(166\) −26.7664 24.4008i −2.07747 1.89387i
\(167\) 1.98386 4.68704i 0.153515 0.362694i −0.826116 0.563501i \(-0.809454\pi\)
0.979631 + 0.200806i \(0.0643562\pi\)
\(168\) 0.0630416 0.509573i 0.00486376 0.0393144i
\(169\) 1.24845 + 2.94959i 0.0960349 + 0.226891i
\(170\) −34.9885 52.8029i −2.68349 4.04980i
\(171\) −0.191942 + 0.135936i −0.0146781 + 0.0103953i
\(172\) −0.715712 0.133790i −0.0545725 0.0102014i
\(173\) 1.84157 + 0.988901i 0.140012 + 0.0751848i 0.541604 0.840634i \(-0.317817\pi\)
−0.401592 + 0.915819i \(0.631543\pi\)
\(174\) 4.39813 7.10498i 0.333421 0.538627i
\(175\) −1.68189 + 0.773791i −0.127139 + 0.0584931i
\(176\) −1.31581 + 1.35697i −0.0991826 + 0.102285i
\(177\) 0.318497 5.17319i 0.0239397 0.388841i
\(178\) 5.96204 + 2.30971i 0.446874 + 0.173120i
\(179\) −19.9821 + 12.3724i −1.49353 + 0.924755i −0.495096 + 0.868838i \(0.664867\pi\)
−0.998435 + 0.0559171i \(0.982192\pi\)
\(180\) −29.3390 + 26.7580i −2.18680 + 1.99442i
\(181\) −0.0945394 + 3.06850i −0.00702706 + 0.228080i 0.989485 + 0.144634i \(0.0462004\pi\)
−0.996512 + 0.0834458i \(0.973407\pi\)
\(182\) 0.634659 + 0.654514i 0.0470441 + 0.0485158i
\(183\) −18.2769 2.83503i −1.35107 0.209571i
\(184\) −8.94243 2.84479i −0.659244 0.209721i
\(185\) 14.0999 + 18.6712i 1.03664 + 1.37274i
\(186\) 30.3099 4.70840i 2.22243 0.345237i
\(187\) 12.8989 + 2.41123i 0.943263 + 0.176326i
\(188\) 8.36014 + 2.65955i 0.609726 + 0.193968i
\(189\) −0.390560 0.551340i −0.0284091 0.0401041i
\(190\) 0.699781 0.321950i 0.0507675 0.0233567i
\(191\) 12.4904 5.74648i 0.903771 0.415801i 0.0893001 0.996005i \(-0.471537\pi\)
0.814471 + 0.580204i \(0.197027\pi\)
\(192\) −0.00249416 22.5447i −0.000180001 1.62702i
\(193\) 2.59767 3.92028i 0.186985 0.282188i −0.728083 0.685489i \(-0.759588\pi\)
0.915067 + 0.403301i \(0.132137\pi\)
\(194\) −18.6201 + 24.6569i −1.33684 + 1.77027i
\(195\) −1.46646 23.7334i −0.105015 1.69958i
\(196\) 19.1443 + 8.80780i 1.36745 + 0.629128i
\(197\) −12.4070 + 4.80651i −0.883965 + 0.342450i −0.760067 0.649845i \(-0.774834\pi\)
−0.123898 + 0.992295i \(0.539540\pi\)
\(198\) 0.418189 13.6716i 0.0297194 0.971598i
\(199\) 25.0013 + 1.54203i 1.77230 + 0.109312i 0.914477 0.404638i \(-0.132603\pi\)
0.857820 + 0.513950i \(0.171818\pi\)
\(200\) 27.5977 17.0878i 1.95145 1.20829i
\(201\) 2.29273 1.14196i 0.161717 0.0805477i
\(202\) 17.1913 15.6719i 1.20957 1.10267i
\(203\) −0.182204 0.212670i −0.0127882 0.0149265i
\(204\) −28.0891 + 18.6170i −1.96663 + 1.30345i
\(205\) 11.3561 19.6694i 0.793146 1.37377i
\(206\) 14.2532 17.7109i 0.993068 1.23398i
\(207\) −11.2170 + 5.16362i −0.779632 + 0.358897i
\(208\) 2.26456 + 1.82228i 0.157019 + 0.126353i
\(209\) −0.0530358 + 0.150505i −0.00366856 + 0.0104106i
\(210\) 0.925077 + 2.01013i 0.0638363 + 0.138712i
\(211\) −3.68865 + 12.9643i −0.253937 + 0.892497i 0.725071 + 0.688674i \(0.241807\pi\)
−0.979008 + 0.203822i \(0.934664\pi\)
\(212\) −0.679724 22.0620i −0.0466836 1.51523i
\(213\) 0.884844 + 1.09935i 0.0606285 + 0.0753262i
\(214\) −8.54590 12.8971i −0.584186 0.881625i
\(215\) 0.986794 0.382286i 0.0672988 0.0260717i
\(216\) 7.98368 + 8.75184i 0.543221 + 0.595488i
\(217\) 0.157686 1.01583i 0.0107044 0.0689590i
\(218\) 9.21077 + 1.14054i 0.623832 + 0.0772472i
\(219\) 2.88068 7.43834i 0.194658 0.502636i
\(220\) −5.76350 + 26.3170i −0.388575 + 1.77429i
\(221\) 1.86195 20.0936i 0.125248 1.35164i
\(222\) 16.5148 12.4743i 1.10840 0.837220i
\(223\) 0.340668 11.0572i 0.0228128 0.740444i −0.917026 0.398827i \(-0.869417\pi\)
0.939839 0.341617i \(-0.110975\pi\)
\(224\) −0.822752 0.261736i −0.0549724 0.0174880i
\(225\) 11.6800 41.0855i 0.778668 2.73904i
\(226\) −10.0950 + 15.2349i −0.671511 + 1.01341i
\(227\) 9.48036 22.3982i 0.629234 1.48662i −0.229033 0.973419i \(-0.573556\pi\)
0.858266 0.513205i \(-0.171542\pi\)
\(228\) −0.171319 0.372265i −0.0113459 0.0246538i
\(229\) −3.31693 21.3680i −0.219189 1.41204i −0.800975 0.598697i \(-0.795685\pi\)
0.581786 0.813342i \(-0.302354\pi\)
\(230\) 39.2196 9.86413i 2.58606 0.650421i
\(231\) −0.432365 0.152306i −0.0284476 0.0100210i
\(232\) 3.62858 + 3.30789i 0.238228 + 0.217174i
\(233\) −9.86383 + 6.10742i −0.646201 + 0.400111i −0.810039 0.586377i \(-0.800554\pi\)
0.163838 + 0.986487i \(0.447613\pi\)
\(234\) −20.9939 + 1.29952i −1.37242 + 0.0849526i
\(235\) −12.3658 + 3.11012i −0.806654 + 0.202882i
\(236\) 8.75760 + 2.20262i 0.570071 + 0.143379i
\(237\) −2.68914 21.6972i −0.174678 1.40939i
\(238\) 0.513903 + 1.80618i 0.0333114 + 0.117077i
\(239\) 5.08351 3.14758i 0.328825 0.203600i −0.352083 0.935969i \(-0.614527\pi\)
0.680908 + 0.732369i \(0.261585\pi\)
\(240\) 3.71460 + 5.99780i 0.239776 + 0.387156i
\(241\) 6.55745 1.22580i 0.422402 0.0789607i 0.0317432 0.999496i \(-0.489894\pi\)
0.390659 + 0.920535i \(0.372247\pi\)
\(242\) 8.48455 + 12.8045i 0.545408 + 0.823103i
\(243\) 15.5228 + 1.42974i 0.995785 + 0.0917175i
\(244\) 10.7100 30.3929i 0.685640 1.94571i
\(245\) −30.3964 + 3.76389i −1.94195 + 0.240466i
\(246\) −17.4003 10.0435i −1.10940 0.640349i
\(247\) 0.237985 + 0.0598557i 0.0151426 + 0.00380853i
\(248\) −0.555044 + 18.0152i −0.0352453 + 1.14397i
\(249\) 5.14298 27.5293i 0.325923 1.74460i
\(250\) −40.4560 + 81.2467i −2.55866 + 5.13849i
\(251\) 9.26919 + 4.26450i 0.585066 + 0.269173i 0.688231 0.725491i \(-0.258387\pi\)
−0.103166 + 0.994664i \(0.532897\pi\)
\(252\) 1.06934 0.492259i 0.0673619 0.0310094i
\(253\) −4.18895 + 7.25548i −0.263357 + 0.456148i
\(254\) −0.149733 1.61587i −0.00939506 0.101389i
\(255\) 20.4661 44.4974i 1.28164 2.78654i
\(256\) 9.37040 + 1.75163i 0.585650 + 0.109477i
\(257\) −6.32137 2.44891i −0.394316 0.152759i 0.155917 0.987770i \(-0.450167\pi\)
−0.550233 + 0.835011i \(0.685461\pi\)
\(258\) −0.338259 0.872861i −0.0210591 0.0543419i
\(259\) −0.230531 0.654200i −0.0143245 0.0406500i
\(260\) 41.1156 + 5.09121i 2.54988 + 0.315744i
\(261\) 6.46114 0.00142962i 0.399934 8.84911e-5i
\(262\) 18.8235 32.6033i 1.16292 2.01424i
\(263\) 9.57727 0.590560 0.295280 0.955411i \(-0.404587\pi\)
0.295280 + 0.955411i \(0.404587\pi\)
\(264\) 7.85134 + 1.71856i 0.483216 + 0.105770i
\(265\) 17.7203 + 26.7426i 1.08855 + 1.64279i
\(266\) −0.0226629 + 0.00280628i −0.00138955 + 0.000172064i
\(267\) 0.908967 + 4.85957i 0.0556279 + 0.297401i
\(268\) 1.22128 + 4.29235i 0.0746014 + 0.262197i
\(269\) −19.9575 + 6.34895i −1.21683 + 0.387103i −0.841739 0.539884i \(-0.818468\pi\)
−0.375094 + 0.926987i \(0.622390\pi\)
\(270\) −49.1080 13.9548i −2.98862 0.849263i
\(271\) −6.96888 + 19.7762i −0.423329 + 1.20132i 0.515485 + 0.856898i \(0.327612\pi\)
−0.938815 + 0.344423i \(0.888075\pi\)
\(272\) 2.33370 + 5.51358i 0.141501 + 0.334310i
\(273\) −0.171869 + 0.683670i −0.0104020 + 0.0413776i
\(274\) −11.2319 + 31.8739i −0.678545 + 1.92557i
\(275\) −9.63146 27.3321i −0.580799 1.64819i
\(276\) −5.25003 20.8643i −0.316015 1.25588i
\(277\) −9.80265 + 10.1093i −0.588984 + 0.607410i −0.945000 0.327070i \(-0.893939\pi\)
0.356016 + 0.934480i \(0.384135\pi\)
\(278\) 3.72500 40.1992i 0.223411 2.41099i
\(279\) 15.4350 + 18.0077i 0.924069 + 1.07809i
\(280\) −1.26096 + 0.317145i −0.0753571 + 0.0189531i
\(281\) −29.7326 11.5185i −1.77370 0.687134i −0.998461 0.0554626i \(-0.982337\pi\)
−0.775236 0.631671i \(-0.782369\pi\)
\(282\) 2.75236 + 10.9382i 0.163901 + 0.651362i
\(283\) −19.1076 + 6.07857i −1.13583 + 0.361334i −0.811351 0.584559i \(-0.801267\pi\)
−0.324479 + 0.945893i \(0.605189\pi\)
\(284\) −2.16620 + 1.16322i −0.128540 + 0.0690246i
\(285\) 0.496536 + 0.328937i 0.0294122 + 0.0194846i
\(286\) −11.1181 + 8.94672i −0.657428 + 0.529031i
\(287\) −0.497595 + 0.453618i −0.0293721 + 0.0267762i
\(288\) 16.9336 10.4900i 0.997822 0.618131i
\(289\) 13.5691 20.4778i 0.798180 1.20457i
\(290\) −20.8000 3.88819i −1.22142 0.228322i
\(291\) −23.7892 2.20174i −1.39455 0.129069i
\(292\) 11.8161 + 7.31623i 0.691486 + 0.428150i
\(293\) −17.1966 12.1732i −1.00463 0.711166i −0.0469233 0.998898i \(-0.514942\pi\)
−0.957711 + 0.287733i \(0.907099\pi\)
\(294\) 3.33243 + 26.8877i 0.194352 + 1.56812i
\(295\) −12.5073 + 3.97887i −0.728204 + 0.231659i
\(296\) 5.42079 + 10.8864i 0.315077 + 0.632760i
\(297\) 9.15746 5.29112i 0.531370 0.307022i
\(298\) 7.11162 45.8138i 0.411965 2.65392i
\(299\) 11.7043 + 5.38484i 0.676878 + 0.311413i
\(300\) 66.6216 + 33.1644i 3.84640 + 1.91475i
\(301\) −0.0313135 + 0.00193135i −0.00180488 + 0.000111321i
\(302\) −2.62259 5.26687i −0.150913 0.303074i
\(303\) 17.3011 + 4.92052i 0.993922 + 0.282676i
\(304\) −0.0706081 + 0.0177587i −0.00404965 + 0.00101853i
\(305\) 10.0198 + 45.7520i 0.573734 + 2.61975i
\(306\) −39.3636 18.0996i −2.25027 1.03468i
\(307\) 5.67399 + 4.56584i 0.323832 + 0.260586i 0.775151 0.631776i \(-0.217674\pi\)
−0.451319 + 0.892363i \(0.649046\pi\)
\(308\) 0.399342 0.691681i 0.0227546 0.0394122i
\(309\) 17.4453 + 2.15903i 0.992429 + 0.122823i
\(310\) −38.8374 67.2683i −2.20581 3.82058i
\(311\) 1.24983 8.05155i 0.0708714 0.456561i −0.926000 0.377523i \(-0.876776\pi\)
0.996872 0.0790383i \(-0.0251849\pi\)
\(312\) 1.51751 12.2662i 0.0859119 0.694437i
\(313\) 17.6884 + 5.62710i 0.999810 + 0.318062i 0.757995 0.652260i \(-0.226179\pi\)
0.241814 + 0.970323i \(0.422257\pi\)
\(314\) 6.82113 + 7.03453i 0.384939 + 0.396981i
\(315\) −0.944768 + 1.42648i −0.0532316 + 0.0803732i
\(316\) 38.0201 + 2.34500i 2.13880 + 0.131917i
\(317\) 12.8796 + 19.4373i 0.723392 + 1.09171i 0.991725 + 0.128382i \(0.0409784\pi\)
−0.268332 + 0.963326i \(0.586473\pi\)
\(318\) 23.6543 15.6777i 1.32647 0.879159i
\(319\) 3.57790 2.53275i 0.200324 0.141807i
\(320\) −53.2350 + 20.6234i −2.97593 + 1.15288i
\(321\) 4.99883 10.8685i 0.279007 0.606618i
\(322\) −1.19664 0.0738064i −0.0666863 0.00411307i
\(323\) 0.373539 + 0.340526i 0.0207843 + 0.0189474i
\(324\) −7.42108 + 26.1263i −0.412282 + 1.45146i
\(325\) −40.4856 + 18.6263i −2.24574 + 1.03320i
\(326\) −1.11479 + 36.1831i −0.0617426 + 2.00400i
\(327\) 3.00017 + 6.51917i 0.165910 + 0.360511i
\(328\) 7.68083 8.96510i 0.424103 0.495015i
\(329\) 0.377296 + 0.0232708i 0.0208010 + 0.00128296i
\(330\) −32.6667 + 11.5154i −1.79824 + 0.633900i
\(331\) −5.18996 23.6981i −0.285266 1.30256i −0.870688 0.491835i \(-0.836326\pi\)
0.585422 0.810729i \(-0.300929\pi\)
\(332\) 45.4993 + 17.6265i 2.49710 + 0.967382i
\(333\) 14.9237 + 5.77768i 0.817815 + 0.316615i
\(334\) −0.351091 + 11.3955i −0.0192109 + 0.623533i
\(335\) −4.79338 4.36974i −0.261890 0.238745i
\(336\) −0.0510370 0.202828i −0.00278430 0.0110651i
\(337\) 5.50673 4.43125i 0.299971 0.241386i −0.465211 0.885200i \(-0.654022\pi\)
0.765182 + 0.643814i \(0.222649\pi\)
\(338\) −4.99452 5.15077i −0.271666 0.280165i
\(339\) −14.1248 0.433617i −0.767154 0.0235508i
\(340\) 69.6504 + 49.3045i 3.77732 + 2.67391i
\(341\) 15.6053 + 3.92490i 0.845077 + 0.212545i
\(342\) 0.290923 0.439258i 0.0157313 0.0237523i
\(343\) 1.78727 + 0.334098i 0.0965033 + 0.0180396i
\(344\) 0.540696 0.101074i 0.0291524 0.00544953i
\(345\) 22.4515 + 21.7656i 1.20875 + 1.17182i
\(346\) −4.64683 0.575402i −0.249815 0.0309338i
\(347\) −8.79264 + 1.64363i −0.472014 + 0.0882346i −0.414382 0.910103i \(-0.636002\pi\)
−0.0576321 + 0.998338i \(0.518355\pi\)
\(348\) −2.06729 + 11.0658i −0.110819 + 0.593190i
\(349\) 1.45142 6.62737i 0.0776926 0.354755i −0.921763 0.387754i \(-0.873251\pi\)
0.999455 + 0.0329991i \(0.0105058\pi\)
\(350\) 2.88693 2.97725i 0.154313 0.159140i
\(351\) −9.40138 13.2716i −0.501809 0.708385i
\(352\) 5.26781 12.4457i 0.280775 0.663357i
\(353\) −9.68744 + 19.4550i −0.515611 + 1.03549i 0.472441 + 0.881362i \(0.343373\pi\)
−0.988052 + 0.154123i \(0.950745\pi\)
\(354\) 3.52085 + 11.0633i 0.187131 + 0.588010i
\(355\) 1.78682 3.09485i 0.0948343 0.164258i
\(356\) −8.61368 −0.456524
\(357\) −0.978097 + 1.07316i −0.0517664 + 0.0567977i
\(358\) 31.7263 42.0125i 1.67679 2.22043i
\(359\) 20.3132 23.7097i 1.07209 1.25135i 0.105665 0.994402i \(-0.466303\pi\)
0.966425 0.256948i \(-0.0827168\pi\)
\(360\) 13.3655 26.8565i 0.704425 1.41546i
\(361\) 14.7977 11.9077i 0.778829 0.626721i
\(362\) −2.28554 6.48589i −0.120125 0.340891i
\(363\) −4.96294 + 10.7904i −0.260487 + 0.566351i
\(364\) −1.11580 0.513349i −0.0584837 0.0269068i
\(365\) −20.1994 −1.05729
\(366\) 40.4703 8.86783i 2.11542 0.463529i
\(367\) −26.9909 + 19.1065i −1.40892 + 0.997351i −0.412661 + 0.910885i \(0.635400\pi\)
−0.996255 + 0.0864656i \(0.972443\pi\)
\(368\) −3.81521 + 0.235314i −0.198881 + 0.0122666i
\(369\) −0.481828 15.5272i −0.0250830 0.808316i
\(370\) −44.5601 27.5904i −2.31657 1.43436i
\(371\) −0.260272 0.914761i −0.0135126 0.0474920i
\(372\) −35.7845 + 20.6655i −1.85534 + 1.07145i
\(373\) −12.0082 + 28.3705i −0.621761 + 1.46897i 0.244637 + 0.969615i \(0.421331\pi\)
−0.866398 + 0.499354i \(0.833571\pi\)
\(374\) −28.8940 + 5.40123i −1.49408 + 0.279291i
\(375\) −69.8792 + 6.48306i −3.60855 + 0.334784i
\(376\) −6.61512 + 0.408006i −0.341149 + 0.0210413i
\(377\) −4.38594 5.11929i −0.225887 0.263657i
\(378\) 1.26193 + 0.835583i 0.0649067 + 0.0429778i
\(379\) −0.128522 4.17147i −0.00660171 0.214274i −0.997068 0.0765194i \(-0.975619\pi\)
0.990466 0.137755i \(-0.0439886\pi\)
\(380\) −0.722397 + 0.744997i −0.0370582 + 0.0382175i
\(381\) 1.00126 0.756288i 0.0512960 0.0387458i
\(382\) −21.4395 + 22.1102i −1.09694 + 1.13126i
\(383\) −15.4256 15.9082i −0.788211 0.812869i 0.197679 0.980267i \(-0.436660\pi\)
−0.985889 + 0.167397i \(0.946464\pi\)
\(384\) 9.93691 + 25.6417i 0.507091 + 1.30852i
\(385\) 0.0357478 + 1.16028i 0.00182188 + 0.0591333i
\(386\) −2.25367 + 10.2906i −0.114709 + 0.523777i
\(387\) 0.436074 0.577721i 0.0221669 0.0293672i
\(388\) 11.3913 40.0362i 0.578305 2.03253i
\(389\) 7.00299 5.63528i 0.355066 0.285720i −0.432897 0.901443i \(-0.642509\pi\)
0.787962 + 0.615723i \(0.211136\pi\)
\(390\) 22.2680 + 48.3869i 1.12758 + 2.45017i
\(391\) 15.9922 + 21.1772i 0.808763 + 1.07097i
\(392\) −15.8900 0.980059i −0.802564 0.0495005i
\(393\) 29.0957 0.899651i 1.46768 0.0453814i
\(394\) 22.0261 20.0794i 1.10966 1.01159i
\(395\) −48.7769 + 26.1926i −2.45423 + 1.31789i
\(396\) 6.12811 + 17.3780i 0.307949 + 0.873279i
\(397\) 26.3871 + 18.6791i 1.32433 + 0.937476i 0.999964 0.00845511i \(-0.00269138\pi\)
0.324368 + 0.945931i \(0.394848\pi\)
\(398\) −53.4698 + 17.0100i −2.68020 + 0.852633i
\(399\) −0.0110713 0.0137553i −0.000554261 0.000688626i
\(400\) 7.96803 10.5514i 0.398402 0.527569i
\(401\) 28.2472 10.9430i 1.41060 0.546469i 0.468997 0.883199i \(-0.344615\pi\)
0.941601 + 0.336731i \(0.109321\pi\)
\(402\) −3.86492 + 4.24056i −0.192765 + 0.211500i
\(403\) 3.79574 24.4526i 0.189079 1.21807i
\(404\) −13.9691 + 28.0537i −0.694987 + 1.39572i
\(405\) −10.8196 37.9632i −0.537631 1.88640i
\(406\) 0.552674 + 0.296780i 0.0274288 + 0.0147289i
\(407\) 10.5295 2.64829i 0.521930 0.131271i
\(408\) 14.7067 20.7804i 0.728091 1.02879i
\(409\) 25.2469 + 29.4683i 1.24838 + 1.45711i 0.838434 + 0.545003i \(0.183472\pi\)
0.409945 + 0.912110i \(0.365548\pi\)
\(410\) −7.80399 + 50.2742i −0.385412 + 2.48286i
\(411\) −25.5255 + 5.59313i −1.25908 + 0.275889i
\(412\) −9.28593 + 29.1852i −0.457485 + 1.43785i
\(413\) 0.389103 0.0191465
\(414\) 19.2513 19.8623i 0.946148 0.976180i
\(415\) −69.7115 + 13.0313i −3.42200 + 0.639683i
\(416\) −19.8049 6.30039i −0.971015 0.308902i
\(417\) 27.9420 13.9173i 1.36833 0.681535i
\(418\) −0.0110079 0.357286i −0.000538412 0.0174754i
\(419\) 2.76389 + 5.55064i 0.135025 + 0.271166i 0.952348 0.305013i \(-0.0986607\pi\)
−0.817323 + 0.576179i \(0.804543\pi\)
\(420\) −2.14035 2.07497i −0.104439 0.101248i
\(421\) −3.50820 + 22.6002i −0.170979 + 1.10147i 0.734976 + 0.678093i \(0.237193\pi\)
−0.905955 + 0.423373i \(0.860846\pi\)
\(422\) −2.78586 30.0642i −0.135613 1.46350i
\(423\) −6.06984 + 6.26250i −0.295126 + 0.304493i
\(424\) 6.49969 + 15.3561i 0.315653 + 0.745759i
\(425\) −91.6190 5.65087i −4.44417 0.274107i
\(426\) −2.73782 1.58028i −0.132648 0.0765648i
\(427\) 0.128116 1.38259i 0.00619995 0.0669081i
\(428\) 17.0120 + 12.0426i 0.822308 + 0.582100i
\(429\) −10.4077 3.66624i −0.502488 0.177008i
\(430\) −1.75184 + 1.59702i −0.0844813 + 0.0770149i
\(431\) 2.24808 + 6.37959i 0.108286 + 0.307294i 0.984698 0.174268i \(-0.0557559\pi\)
−0.876412 + 0.481562i \(0.840070\pi\)
\(432\) 4.32025 + 2.14944i 0.207858 + 0.103415i
\(433\) −36.7440 + 4.54989i −1.76580 + 0.218654i −0.939019 0.343866i \(-0.888263\pi\)
−0.826784 + 0.562520i \(0.809832\pi\)
\(434\) 0.492634 + 2.24943i 0.0236472 + 0.107976i
\(435\) −5.91219 15.2561i −0.283468 0.731475i
\(436\) −12.1258 + 3.04976i −0.580721 + 0.146057i
\(437\) −0.284310 + 0.152671i −0.0136004 + 0.00730326i
\(438\) 0.00197677 + 17.8680i 9.44539e−5 + 0.853767i
\(439\) 1.21953 + 39.5825i 0.0582048 + 1.88917i 0.355919 + 0.934517i \(0.384168\pi\)
−0.297714 + 0.954655i \(0.596224\pi\)
\(440\) −3.12195 20.1119i −0.148833 0.958798i
\(441\) −16.3183 + 13.1372i −0.777060 + 0.625581i
\(442\) 12.3704 + 43.4776i 0.588402 + 2.06802i
\(443\) 17.8634 + 12.6452i 0.848715 + 0.600793i 0.917901 0.396811i \(-0.129883\pi\)
−0.0691851 + 0.997604i \(0.522040\pi\)
\(444\) −14.6755 + 23.7076i −0.696468 + 1.12511i
\(445\) 10.6442 6.59060i 0.504582 0.312424i
\(446\) 8.23583 + 23.3716i 0.389978 + 1.10668i
\(447\) 33.0116 13.9769i 1.56140 0.661086i
\(448\) 1.68929 0.104192i 0.0798113 0.00492259i
\(449\) −2.10161 + 2.78298i −0.0991812 + 0.131337i −0.844901 0.534922i \(-0.820341\pi\)
0.745720 + 0.666259i \(0.232106\pi\)
\(450\) 8.84930 + 95.2697i 0.417160 + 4.49106i
\(451\) −6.35159 8.41086i −0.299085 0.396052i
\(452\) 5.26731 24.0513i 0.247753 1.13128i
\(453\) 2.39453 3.86826i 0.112505 0.181747i
\(454\) −1.67778 + 54.4562i −0.0787421 + 2.55576i
\(455\) 1.77160 0.219372i 0.0830541 0.0102843i
\(456\) 0.222279 + 0.215489i 0.0104092 + 0.0100912i
\(457\) 25.6358 18.1472i 1.19919 0.848890i 0.207589 0.978216i \(-0.433438\pi\)
0.991602 + 0.129326i \(0.0412815\pi\)
\(458\) 24.2192 + 41.9489i 1.13169 + 1.96014i
\(459\) −4.12782 33.2449i −0.192670 1.55174i
\(460\) −44.4679 + 31.4782i −2.07333 + 1.46768i
\(461\) 3.54452 4.69371i 0.165085 0.218608i −0.707954 0.706259i \(-0.750381\pi\)
0.873039 + 0.487651i \(0.162146\pi\)
\(462\) 1.02636 0.0317354i 0.0477505 0.00147646i
\(463\) 0.194424 + 0.0753204i 0.00903567 + 0.00350044i 0.365755 0.930711i \(-0.380811\pi\)
−0.356720 + 0.934212i \(0.616105\pi\)
\(464\) 1.86499 + 0.722501i 0.0865800 + 0.0335413i
\(465\) 28.4082 52.9167i 1.31740 2.45396i
\(466\) 15.6612 20.7388i 0.725490 0.960705i
\(467\) 9.65162 6.83224i 0.446624 0.316158i −0.332416 0.943133i \(-0.607864\pi\)
0.779040 + 0.626974i \(0.215707\pi\)
\(468\) 25.7406 11.8494i 1.18986 0.547741i
\(469\) 0.0961454 + 0.166529i 0.00443958 + 0.00768958i
\(470\) 23.3126 16.5026i 1.07533 0.761210i
\(471\) −1.84720 + 7.34789i −0.0851146 + 0.338573i
\(472\) −6.77041 + 0.838358i −0.311633 + 0.0385886i
\(473\) 0.0151230 0.490854i 0.000695358 0.0225695i
\(474\) 23.1743 + 43.1445i 1.06443 + 1.98169i
\(475\) 0.238805 1.09042i 0.0109571 0.0500317i
\(476\) −1.52458 2.01886i −0.0698788 0.0925345i
\(477\) 19.9361 + 9.16673i 0.912812 + 0.419716i
\(478\) −8.07128 + 10.6881i −0.369172 + 0.488863i
\(479\) 14.8590 0.916469i 0.678923 0.0418746i 0.281571 0.959541i \(-0.409145\pi\)
0.397353 + 0.917666i \(0.369929\pi\)
\(480\) −40.2573 30.3939i −1.83749 1.38729i
\(481\) −5.54924 15.7476i −0.253023 0.718028i
\(482\) −12.7051 + 7.86666i −0.578701 + 0.358317i
\(483\) −0.438663 0.816678i −0.0199599 0.0371601i
\(484\) −16.8899 11.9561i −0.767723 0.543460i
\(485\) 16.5564 + 58.1898i 0.751788 + 2.64226i
\(486\) −33.5804 + 9.57453i −1.52324 + 0.434310i
\(487\) −3.05703 19.6937i −0.138527 0.892407i −0.950951 0.309340i \(-0.899892\pi\)
0.812424 0.583067i \(-0.198147\pi\)
\(488\) 0.749696 + 24.3331i 0.0339371 + 1.10151i
\(489\) −24.2394 + 13.9982i −1.09614 + 0.633019i
\(490\) 60.4453 32.4585i 2.73064 1.46632i
\(491\) −4.65643 + 1.17114i −0.210142 + 0.0528527i −0.347549 0.937662i \(-0.612986\pi\)
0.137407 + 0.990515i \(0.456123\pi\)
\(492\) 26.7463 + 4.14877i 1.20582 + 0.187041i
\(493\) −2.97051 13.5638i −0.133785 0.610882i
\(494\) −0.545531 + 0.0675514i −0.0245446 + 0.00303928i
\(495\) −20.8692 16.7857i −0.937999 0.754463i
\(496\) 2.44007 + 6.92441i 0.109562 + 0.310915i
\(497\) −0.0782935 + 0.0713739i −0.00351194 + 0.00320156i
\(498\) 11.5341 + 61.6642i 0.516855 + 2.76324i
\(499\) 27.4474 + 19.4296i 1.22872 + 0.869790i 0.994738 0.102452i \(-0.0326687\pi\)
0.233978 + 0.972242i \(0.424826\pi\)
\(500\) 11.2820 121.752i 0.504546 5.44492i
\(501\) −7.63392 + 4.40857i −0.341058 + 0.196960i
\(502\) −22.8120 1.40700i −1.01815 0.0627973i
\(503\) −4.58445 10.8312i −0.204411 0.482939i 0.786479 0.617617i \(-0.211902\pi\)
−0.990889 + 0.134678i \(0.957000\pi\)
\(504\) −0.618955 + 0.638601i −0.0275704 + 0.0284455i
\(505\) −4.20275 45.3549i −0.187020 2.01827i
\(506\) 2.87867 18.5447i 0.127973 0.824413i
\(507\) 1.35255 5.38022i 0.0600687 0.238944i
\(508\) 0.974481 + 1.95702i 0.0432356 + 0.0868288i
\(509\) 0.450036 + 14.6070i 0.0199475 + 0.647442i 0.955625 + 0.294586i \(0.0951817\pi\)
−0.935678 + 0.352856i \(0.885210\pi\)
\(510\) −6.74194 + 109.506i −0.298538 + 4.84901i
\(511\) 0.570653 + 0.181538i 0.0252442 + 0.00803075i
\(512\) 10.2233 1.91107i 0.451811 0.0844582i
\(513\) 0.407194 + 0.0124102i 0.0179780 + 0.000547925i
\(514\) 15.1855 0.669805
\(515\) −10.8556 43.1700i −0.478357 1.90230i
\(516\) 0.849716 + 0.931887i 0.0374067 + 0.0410240i
\(517\) −0.907633 + 5.84707i −0.0399176 + 0.257154i
\(518\) 1.01090 + 1.17993i 0.0444164 + 0.0518431i
\(519\) −1.51358 3.28892i −0.0664389 0.144367i
\(520\) −30.3534 + 7.63418i −1.33108 + 0.334781i
\(521\) 17.9713 + 9.65039i 0.787337 + 0.422791i 0.816905 0.576772i \(-0.195688\pi\)
−0.0295684 + 0.999563i \(0.509413\pi\)
\(522\) −13.4947 + 5.23130i −0.590646 + 0.228968i
\(523\) 1.23604 2.48230i 0.0540482 0.108543i −0.866492 0.499190i \(-0.833631\pi\)
0.920541 + 0.390647i \(0.127749\pi\)
\(524\) −7.77968 + 50.1175i −0.339857 + 2.18939i
\(525\) 3.13247 + 0.685658i 0.136712 + 0.0299246i
\(526\) −20.0047 + 7.74987i −0.872247 + 0.337910i
\(527\) 30.7161 40.6747i 1.33802 1.77182i
\(528\) 3.23506 0.502540i 0.140788 0.0218703i
\(529\) 5.77239 1.83633i 0.250974 0.0798404i
\(530\) −58.6536 41.5200i −2.54775 1.80352i
\(531\) −5.83922 + 6.81862i −0.253401 + 0.295903i
\(532\) 0.0271039 0.0145545i 0.00117510 0.000631017i
\(533\) −11.9779 + 10.9193i −0.518820 + 0.472967i
\(534\) −5.83095 9.41499i −0.252330 0.407426i
\(535\) −30.2364 1.86492i −1.30724 0.0806275i
\(536\) −2.03174 2.69046i −0.0877577 0.116210i
\(537\) 40.5340 + 3.75151i 1.74917 + 0.161889i
\(538\) 36.5492 29.4110i 1.57575 1.26800i
\(539\) −3.88964 + 13.6707i −0.167539 + 0.588838i
\(540\) 68.4817 6.36869i 2.94698 0.274065i
\(541\) 7.31884 33.4189i 0.314662 1.43679i −0.504592 0.863358i \(-0.668357\pi\)
0.819254 0.573431i \(-0.194388\pi\)
\(542\) −1.44643 46.9472i −0.0621294 2.01656i
\(543\) 3.33309 4.14299i 0.143037 0.177793i
\(544\) −29.8000 30.7323i −1.27766 1.31764i
\(545\) 12.6508 13.0465i 0.541899 0.558852i
\(546\) −0.194226 1.56710i −0.00831209 0.0670659i
\(547\) −2.69725 + 2.78163i −0.115326 + 0.118934i −0.773108 0.634275i \(-0.781299\pi\)
0.657782 + 0.753209i \(0.271495\pi\)
\(548\) −1.40205 45.5067i −0.0598925 1.94395i
\(549\) 22.3058 + 22.9934i 0.951988 + 0.981336i
\(550\) 42.2349 + 49.2968i 1.80090 + 2.10202i
\(551\) 0.168533 0.0103947i 0.00717973 0.000442831i
\(552\) 9.39237 + 13.2651i 0.399766 + 0.564600i
\(553\) 1.61339 0.301595i 0.0686084 0.0128251i
\(554\) 12.2951 29.0483i 0.522368 1.23414i
\(555\) −0.00448335 40.5249i −0.000190308 1.72019i
\(556\) 14.8840 + 52.3118i 0.631222 + 2.21851i
\(557\) −15.0738 9.33332i −0.638699 0.395465i 0.168536 0.985695i \(-0.446096\pi\)
−0.807235 + 0.590230i \(0.799037\pi\)
\(558\) −46.8119 25.1241i −1.98171 1.06359i
\(559\) −0.753765 + 0.0464906i −0.0318809 + 0.00196634i
\(560\) −0.432285 + 0.306009i −0.0182674 + 0.0129312i
\(561\) −15.3140 16.7949i −0.646558 0.709083i
\(562\) 71.4252 3.01289
\(563\) 15.3362 + 7.05577i 0.646344 + 0.297365i 0.713792 0.700358i \(-0.246976\pi\)
−0.0674487 + 0.997723i \(0.521486\pi\)
\(564\) −8.78078 12.4013i −0.369738 0.522190i
\(565\) 11.8934 + 33.7511i 0.500360 + 1.41992i
\(566\) 34.9927 28.1585i 1.47085 1.18359i
\(567\) −0.0355210 + 1.16973i −0.00149174 + 0.0491242i
\(568\) 1.20853 1.41060i 0.0507088 0.0591875i
\(569\) 21.3927 28.3285i 0.896827 1.18759i −0.0847268 0.996404i \(-0.527002\pi\)
0.981554 0.191187i \(-0.0612335\pi\)
\(570\) −1.30332 0.285281i −0.0545902 0.0119491i
\(571\) 23.5147 0.984059 0.492029 0.870579i \(-0.336255\pi\)
0.492029 + 0.870579i \(0.336255\pi\)
\(572\) 9.61277 16.6498i 0.401930 0.696164i
\(573\) −23.2630 5.09197i −0.971824 0.212720i
\(574\) 0.672298 1.35016i 0.0280612 0.0563544i
\(575\) 22.8433 53.9695i 0.952633 2.25069i
\(576\) −23.5251 + 31.1666i −0.980212 + 1.29861i
\(577\) 1.20391 1.24157i 0.0501193 0.0516872i −0.692387 0.721526i \(-0.743441\pi\)
0.742506 + 0.669839i \(0.233637\pi\)
\(578\) −11.7722 + 53.7534i −0.489658 + 2.23584i
\(579\) −7.68219 + 2.70805i −0.319261 + 0.112543i
\(580\) 28.0215 5.23813i 1.16353 0.217502i
\(581\) 2.08653 + 0.258369i 0.0865639 + 0.0107189i
\(582\) 51.4719 14.6512i 2.13358 0.607311i
\(583\) 14.6337 2.73551i 0.606066 0.113293i
\(584\) −10.3205 1.92924i −0.427066 0.0798325i
\(585\) −22.7420 + 34.3376i −0.940266 + 1.41969i
\(586\) 45.7702 + 11.5117i 1.89075 + 0.475542i
\(587\) −5.59411 3.95999i −0.230894 0.163446i 0.456518 0.889714i \(-0.349096\pi\)
−0.687412 + 0.726268i \(0.741253\pi\)
\(588\) −17.2715 32.1550i −0.712263 1.32605i
\(589\) 0.431480 + 0.444978i 0.0177788 + 0.0183350i
\(590\) 22.9053 18.4318i 0.942994 0.758825i
\(591\) 22.1668 + 6.30435i 0.911820 + 0.259326i
\(592\) 3.66088 + 3.33733i 0.150461 + 0.137164i
\(593\) 0.248564 8.06773i 0.0102073 0.331302i −0.980600 0.196020i \(-0.937198\pi\)
0.990807 0.135282i \(-0.0431940\pi\)
\(594\) −14.8463 + 18.4621i −0.609151 + 0.757509i
\(595\) 3.42866 + 1.32827i 0.140561 + 0.0544538i
\(596\) 13.3621 + 61.0131i 0.547332 + 2.49920i
\(597\) −32.9506 28.2240i −1.34858 1.15513i
\(598\) −28.8050 1.77663i −1.17792 0.0726519i
\(599\) 10.8744 12.6927i 0.444317 0.518609i −0.491604 0.870819i \(-0.663589\pi\)
0.935921 + 0.352210i \(0.114570\pi\)
\(600\) −55.9825 5.18129i −2.28547 0.211525i
\(601\) 0.568454 18.4505i 0.0231877 0.752612i −0.914390 0.404835i \(-0.867329\pi\)
0.937577 0.347777i \(-0.113063\pi\)
\(602\) 0.0638440 0.0293729i 0.00260209 0.00119715i
\(603\) −4.36109 0.814230i −0.177597 0.0331580i
\(604\) 5.85774 + 5.34003i 0.238348 + 0.217283i
\(605\) 30.0194 + 1.85153i 1.22046 + 0.0752755i
\(606\) −40.1197 + 3.72211i −1.62975 + 0.151200i
\(607\) −10.0149 + 3.87978i −0.406491 + 0.157476i −0.555802 0.831315i \(-0.687589\pi\)
0.149311 + 0.988790i \(0.452295\pi\)
\(608\) 0.424887 0.300771i 0.0172314 0.0121979i
\(609\) 0.0299141 + 0.484134i 0.00121218 + 0.0196181i
\(610\) −57.9514 87.4574i −2.34638 3.54105i
\(611\) 9.08210 + 0.560165i 0.367422 + 0.0226618i
\(612\) 58.2577 + 3.58027i 2.35493 + 0.144724i
\(613\) 4.94432 + 5.09900i 0.199699 + 0.205947i 0.810338 0.585962i \(-0.199283\pi\)
−0.610639 + 0.791909i \(0.709087\pi\)
\(614\) −15.5463 4.94564i −0.627398 0.199590i
\(615\) −36.2256 + 15.3377i −1.46076 + 0.618476i
\(616\) −0.0925533 + 0.596238i −0.00372908 + 0.0240231i
\(617\) −10.7174 18.5630i −0.431465 0.747320i 0.565534 0.824725i \(-0.308670\pi\)
−0.997000 + 0.0774048i \(0.975337\pi\)
\(618\) −38.1863 + 9.60692i −1.53608 + 0.386447i
\(619\) −14.9242 + 25.8495i −0.599855 + 1.03898i 0.392987 + 0.919544i \(0.371442\pi\)
−0.992842 + 0.119435i \(0.961892\pi\)
\(620\) 81.5251 + 65.6030i 3.27413 + 2.63468i
\(621\) 20.8944 + 4.56868i 0.838464 + 0.183335i
\(622\) 3.90465 + 17.8292i 0.156562 + 0.714886i
\(623\) −0.359939 + 0.0905284i −0.0144207 + 0.00362694i
\(624\) −1.22854 4.88237i −0.0491809 0.195451i
\(625\) 47.4831 + 95.3589i 1.89932 + 3.81436i
\(626\) −41.5005 + 2.55966i −1.65869 + 0.102305i
\(627\) 0.230385 0.152695i 0.00920070 0.00609807i
\(628\) −11.9923 5.51732i −0.478544 0.220165i
\(629\) 5.27534 33.9843i 0.210342 1.35504i
\(630\) 0.819102 3.74410i 0.0326338 0.149168i
\(631\) 3.13770 + 6.30135i 0.124910 + 0.250853i 0.948788 0.315915i \(-0.102311\pi\)
−0.823878 + 0.566768i \(0.808194\pi\)
\(632\) −27.4233 + 8.72398i −1.09084 + 0.347021i
\(633\) 18.6289 14.0712i 0.740434 0.559278i
\(634\) −42.6312 30.1780i −1.69310 1.19852i
\(635\) −2.70157 1.67274i −0.107209 0.0663808i
\(636\) −22.0852 + 31.2062i −0.875736 + 1.23741i
\(637\) 21.4851 + 4.01626i 0.851271 + 0.159130i
\(638\) −5.42394 + 8.18554i −0.214736 + 0.324069i
\(639\) −0.0758126 2.44311i −0.00299910 0.0966481i
\(640\) 51.4632 46.9149i 2.03426 1.85447i
\(641\) 18.7146 15.0596i 0.739182 0.594818i −0.182298 0.983243i \(-0.558353\pi\)
0.921480 + 0.388426i \(0.126981\pi\)
\(642\) −1.64671 + 26.7467i −0.0649906 + 1.05561i
\(643\) −6.37324 + 3.42236i −0.251336 + 0.134965i −0.593924 0.804521i \(-0.702422\pi\)
0.342588 + 0.939486i \(0.388697\pi\)
\(644\) 1.53916 0.489643i 0.0606516 0.0192947i
\(645\) −1.76304 0.501416i −0.0694195 0.0197432i
\(646\) −1.05579 0.409015i −0.0415395 0.0160925i
\(647\) 4.94670 1.24414i 0.194475 0.0489123i −0.145447 0.989366i \(-0.546462\pi\)
0.339922 + 0.940454i \(0.389599\pi\)
\(648\) −1.90223 20.4300i −0.0747268 0.802565i
\(649\) −0.561977 + 6.06470i −0.0220595 + 0.238060i
\(650\) 69.4928 71.6669i 2.72573 2.81101i
\(651\) −1.27813 + 1.23964i −0.0500940 + 0.0485852i
\(652\) −16.2085 45.9965i −0.634775 1.80136i
\(653\) 1.88597 5.35201i 0.0738039 0.209440i −0.900421 0.435020i \(-0.856741\pi\)
0.974225 + 0.225580i \(0.0724276\pi\)
\(654\) −11.5419 11.1893i −0.451326 0.437538i
\(655\) −28.7329 67.8842i −1.12269 2.65246i
\(656\) 1.59822 4.53543i 0.0624001 0.177079i
\(657\) −11.7450 + 7.27578i −0.458215 + 0.283855i
\(658\) −0.806916 + 0.256698i −0.0314569 + 0.0100071i
\(659\) 7.45034 + 26.1852i 0.290224 + 1.02003i 0.960583 + 0.277994i \(0.0896696\pi\)
−0.670359 + 0.742037i \(0.733860\pi\)
\(660\) 35.4325 30.3635i 1.37921 1.18190i
\(661\) 3.97801 0.492585i 0.154727 0.0191593i −0.0451510 0.998980i \(-0.514377\pi\)
0.199878 + 0.979821i \(0.435946\pi\)
\(662\) 30.0170 + 45.3002i 1.16664 + 1.76064i
\(663\) −23.5443 + 25.8326i −0.914385 + 1.00326i
\(664\) −36.8624 −1.43054
\(665\) −0.0223570 + 0.0387235i −0.000866967 + 0.00150163i
\(666\) −35.8475 + 0.00793176i −1.38906 + 0.000307350i
\(667\) 8.79778 + 1.08940i 0.340651 + 0.0421818i
\(668\) −5.10470 14.4861i −0.197507 0.560484i
\(669\) −12.0106 + 14.9291i −0.464358 + 0.577191i
\(670\) 13.5482 + 5.24862i 0.523414 + 0.202772i
\(671\) 21.3645 + 3.99371i 0.824767 + 0.154176i
\(672\) 0.864149 + 1.22046i 0.0333353 + 0.0470803i
\(673\) 2.27166 + 24.5151i 0.0875662 + 0.944990i 0.920273 + 0.391276i \(0.127966\pi\)
−0.832707 + 0.553714i \(0.813210\pi\)
\(674\) −7.91656 + 13.7119i −0.304934 + 0.528162i
\(675\) −59.0241 + 44.6037i −2.27184 + 1.71680i
\(676\) 8.78090 + 4.03986i 0.337727 + 0.155379i
\(677\) −7.73938 + 15.5428i −0.297449 + 0.597357i −0.992589 0.121516i \(-0.961224\pi\)
0.695141 + 0.718874i \(0.255342\pi\)
\(678\) 29.8544 10.5240i 1.14655 0.404171i
\(679\) 0.0552329 1.79271i 0.00211964 0.0687980i
\(680\) −62.5208 15.7246i −2.39756 0.603011i
\(681\) −36.4806 + 21.0675i −1.39794 + 0.807308i
\(682\) −35.7720 + 4.42953i −1.36978 + 0.169616i
\(683\) 0.717040 2.03481i 0.0274368 0.0778599i −0.928632 0.371002i \(-0.879014\pi\)
0.956069 + 0.293142i \(0.0947007\pi\)
\(684\) −0.151693 + 0.693385i −0.00580013 + 0.0265123i
\(685\) 36.5512 + 55.1613i 1.39655 + 2.10760i
\(686\) −4.00354 + 0.748391i −0.152856 + 0.0285737i
\(687\) −17.7155 + 32.9992i −0.675888 + 1.25900i
\(688\) 0.190500 0.117953i 0.00726275 0.00449690i
\(689\) −6.26515 22.0197i −0.238683 0.838884i
\(690\) −64.5087 27.2958i −2.45581 1.03913i
\(691\) −42.6998 10.7394i −1.62438 0.408547i −0.678898 0.734232i \(-0.737542\pi\)
−0.945478 + 0.325685i \(0.894405\pi\)
\(692\) 6.11746 1.53860i 0.232551 0.0584889i
\(693\) 0.438715 + 0.661770i 0.0166654 + 0.0251386i
\(694\) 17.0358 10.5481i 0.646670 0.400401i
\(695\) −58.4180 53.2550i −2.21592 2.02008i
\(696\) −1.56362 8.35950i −0.0592688 0.316866i
\(697\) −32.3764 + 8.14300i −1.22634 + 0.308438i
\(698\) 2.33115 + 15.0175i 0.0882355 + 0.568422i
\(699\) 20.0089 + 1.85187i 0.756808 + 0.0700441i
\(700\) −2.17771 + 5.14503i −0.0823095 + 0.194464i
\(701\) −19.5946 + 29.5712i −0.740078 + 1.11689i 0.248857 + 0.968540i \(0.419945\pi\)
−0.988935 + 0.148350i \(0.952604\pi\)
\(702\) 30.3766 + 20.1138i 1.14649 + 0.759145i
\(703\) 0.398538 + 0.126784i 0.0150312 + 0.00478176i
\(704\) −0.815850 + 26.4803i −0.0307485 + 0.998015i
\(705\) 20.3393 + 8.60625i 0.766023 + 0.324130i
\(706\) 4.49197 48.4761i 0.169057 1.82442i
\(707\) −0.288885 + 1.31909i −0.0108647 + 0.0496095i
\(708\) −9.80707 12.1845i −0.368572 0.457922i
\(709\) −20.5241 2.54143i −0.770798 0.0954455i −0.272156 0.962253i \(-0.587737\pi\)
−0.498643 + 0.866808i \(0.666168\pi\)
\(710\) −1.22791 + 7.91032i −0.0460826 + 0.296869i
\(711\) −18.9269 + 32.7990i −0.709813 + 1.23006i
\(712\) 6.06792 2.35072i 0.227405 0.0880971i
\(713\) 17.9747 + 27.1266i 0.673159 + 1.01590i
\(714\) 1.17463 3.03306i 0.0439593 0.113509i
\(715\) 0.860505 + 27.9297i 0.0321811 + 1.04451i
\(716\) −19.4094 + 68.2169i −0.725362 + 2.54938i
\(717\) −10.3120 0.954395i −0.385108 0.0356425i
\(718\) −23.2439 + 65.9614i −0.867455 + 2.46166i
\(719\) −29.1393 23.4483i −1.08671 0.874475i −0.0940723 0.995565i \(-0.529988\pi\)
−0.992642 + 0.121090i \(0.961361\pi\)
\(720\) 1.12478 12.1676i 0.0419180 0.453459i
\(721\) −0.0812987 + 1.31716i −0.00302772 + 0.0490535i
\(722\) −21.2735 + 36.8467i −0.791716 + 1.37129i
\(723\) −10.3438 5.14917i −0.384690 0.191500i
\(724\) 6.02757 + 7.03541i 0.224013 + 0.261469i
\(725\) −22.6611 + 20.6583i −0.841613 + 0.767232i
\(726\) 1.63489 26.5547i 0.0606765 0.985539i
\(727\) −6.20661 + 3.84297i −0.230190 + 0.142528i −0.636682 0.771127i \(-0.719693\pi\)
0.406491 + 0.913655i \(0.366752\pi\)
\(728\) 0.926121 + 0.0571212i 0.0343243 + 0.00211705i
\(729\) −19.9653 18.1765i −0.739456 0.673205i
\(730\) 42.1920 16.3453i 1.56159 0.604965i
\(731\) −1.41314 0.650149i −0.0522670 0.0240466i
\(732\) −46.5240 + 30.8353i −1.71958 + 1.13971i
\(733\) 9.55655 12.6549i 0.352979 0.467420i −0.586538 0.809922i \(-0.699510\pi\)
0.939517 + 0.342502i \(0.111274\pi\)
\(734\) 40.9170 61.7500i 1.51027 2.27923i
\(735\) 45.9457 + 26.5200i 1.69473 + 0.978204i
\(736\) 24.8288 11.4231i 0.915201 0.421059i
\(737\) −2.73444 + 1.25804i −0.100724 + 0.0463406i
\(738\) 13.5710 + 32.0430i 0.499555 + 1.17952i
\(739\) 19.0939 + 6.07419i 0.702379 + 0.223443i 0.633005 0.774148i \(-0.281821\pi\)
0.0693741 + 0.997591i \(0.477900\pi\)
\(740\) 69.4044 + 12.9739i 2.55136 + 0.476931i
\(741\) −0.266504 0.331111i −0.00979028 0.0121637i
\(742\) 1.28387 + 1.70012i 0.0471323 + 0.0624132i
\(743\) −38.8075 12.3456i −1.42371 0.452914i −0.510314 0.859988i \(-0.670471\pi\)
−0.913395 + 0.407074i \(0.866549\pi\)
\(744\) 19.5687 24.3236i 0.717423 0.891746i
\(745\) −63.1950 65.1720i −2.31529 2.38772i
\(746\) 2.12514 68.9764i 0.0778069 2.52541i
\(747\) −35.8400 + 32.6870i −1.31132 + 1.19595i
\(748\) 33.6687 20.8468i 1.23105 0.762233i
\(749\) 0.837447 + 0.324429i 0.0305997 + 0.0118544i
\(750\) 140.716 70.0875i 5.13821 2.55923i
\(751\) 30.3745 31.3248i 1.10838 1.14306i 0.119735 0.992806i \(-0.461796\pi\)
0.988648 0.150251i \(-0.0480083\pi\)
\(752\) −2.45258 + 1.12837i −0.0894365 + 0.0411473i
\(753\) −8.36239 15.5686i −0.304742 0.567352i
\(754\) 13.3037 + 7.14394i 0.484493 + 0.260167i
\(755\) −11.3244 2.11690i −0.412137 0.0770418i
\(756\) −1.99191 0.435542i −0.0724450 0.0158405i
\(757\) −2.09180 3.15684i −0.0760278 0.114737i 0.793612 0.608424i \(-0.208198\pi\)
−0.869640 + 0.493687i \(0.835649\pi\)
\(758\) 3.64398 + 8.60925i 0.132355 + 0.312702i
\(759\) 13.3626 5.65764i 0.485031 0.205359i
\(760\) 0.305580 0.721961i 0.0110845 0.0261883i
\(761\) 16.5209 + 15.0608i 0.598882 + 0.545953i 0.915355 0.402649i \(-0.131910\pi\)
−0.316473 + 0.948602i \(0.602499\pi\)
\(762\) −1.47941 + 2.38992i −0.0535935 + 0.0865778i
\(763\) −0.474648 + 0.254881i −0.0171834 + 0.00922730i
\(764\) 16.1725 38.2091i 0.585101 1.38236i
\(765\) −74.7301 + 40.1505i −2.70187 + 1.45165i
\(766\) 45.0933 + 20.7462i 1.62929 + 0.749591i
\(767\) 9.36630 0.338197
\(768\) −11.1248 12.2006i −0.401433 0.440253i
\(769\) 18.4903 + 8.50690i 0.666778 + 0.306767i 0.722188 0.691697i \(-0.243137\pi\)
−0.0554094 + 0.998464i \(0.517646\pi\)
\(770\) −1.01356 2.39463i −0.0365262 0.0862965i
\(771\) 6.18238 + 9.98242i 0.222653 + 0.359508i
\(772\) −2.17693 14.0240i −0.0783494 0.504735i
\(773\) −7.15384 + 5.75667i −0.257306 + 0.207053i −0.746970 0.664858i \(-0.768492\pi\)
0.489664 + 0.871911i \(0.337119\pi\)
\(774\) −0.443370 + 1.55960i −0.0159366 + 0.0560585i
\(775\) −111.709 13.8325i −4.01269 0.496879i
\(776\) 2.90151 + 31.3123i 0.104158 + 1.12405i
\(777\) −0.364081 + 1.14491i −0.0130613 + 0.0410733i
\(778\) −10.0676 + 17.4376i −0.360941 + 0.625168i
\(779\) −0.0374590 0.404247i −0.00134211 0.0144836i
\(780\) −51.5216 49.9476i −1.84477 1.78841i
\(781\) −0.999382 1.32340i −0.0357607 0.0473548i
\(782\) −50.5406 31.2934i −1.80733 1.11905i
\(783\) −8.93286 6.74113i −0.319235 0.240908i
\(784\) −6.17970 + 1.96590i −0.220704 + 0.0702108i
\(785\) 19.0407 2.35775i 0.679592 0.0841517i
\(786\) −60.0462 + 25.4232i −2.14178 + 0.906817i
\(787\) 48.4993 + 6.00551i 1.72881 + 0.214073i 0.924778 0.380508i \(-0.124251\pi\)
0.804035 + 0.594581i \(0.202682\pi\)
\(788\) −17.8977 + 35.9434i −0.637579 + 1.28043i
\(789\) −13.2389 9.99523i −0.471316 0.355840i
\(790\) 80.6888 94.1803i 2.87078 3.35079i
\(791\) −0.0326702 1.06039i −0.00116162 0.0377031i
\(792\) −9.05952 10.5696i −0.321916 0.375574i
\(793\) 3.08394 33.2810i 0.109514 1.18184i
\(794\) −70.2317 17.6640i −2.49243 0.626871i
\(795\) 3.41453 55.4605i 0.121101 1.96698i
\(796\) 58.8917 47.3900i 2.08736 1.67969i
\(797\) −27.2593 14.6379i −0.965574 0.518502i −0.0870515 0.996204i \(-0.527744\pi\)
−0.878522 + 0.477702i \(0.841470\pi\)
\(798\) 0.0342562 + 0.0197728i 0.00121266 + 0.000699949i
\(799\) 15.9352 + 9.86667i 0.563748 + 0.349058i
\(800\) −25.8713 + 90.9281i −0.914688 + 3.21479i
\(801\) 3.81516 7.66612i 0.134802 0.270869i
\(802\) −50.1469 + 45.7150i −1.77075 + 1.61425i
\(803\) −3.65370 + 8.63221i −0.128936 + 0.304624i
\(804\) 2.79147 7.20798i 0.0984476 0.254206i
\(805\) −1.52735 + 1.78273i −0.0538320 + 0.0628330i
\(806\) 11.8584 + 54.1473i 0.417696 + 1.90726i
\(807\) 34.2138 + 12.0522i 1.20438 + 0.424258i
\(808\) 2.18452 23.5747i 0.0768510 0.829354i
\(809\) 28.1482 + 19.9257i 0.989637 + 0.700549i 0.954307 0.298826i \(-0.0965952\pi\)
0.0353291 + 0.999376i \(0.488752\pi\)
\(810\) 53.3192 + 70.5412i 1.87345 + 2.47856i
\(811\) −6.34110 12.7346i −0.222666 0.447174i 0.755458 0.655197i \(-0.227415\pi\)
−0.978124 + 0.208024i \(0.933297\pi\)
\(812\) −0.838711 0.103855i −0.0294330 0.00364459i
\(813\) 30.2725 20.0641i 1.06170 0.703680i
\(814\) −19.8508 + 14.0521i −0.695771 + 0.492526i
\(815\) 55.2227 + 44.4376i 1.93437 + 1.55658i
\(816\) 2.52828 10.0571i 0.0885074 0.352069i
\(817\) 0.0104486 0.0157686i 0.000365551 0.000551672i
\(818\) −76.5806 41.1229i −2.67758 1.43783i
\(819\) 0.951085 0.765682i 0.0332336 0.0267551i
\(820\) −14.6630 66.9533i −0.512054 2.33811i
\(821\) 7.61997 21.6239i 0.265939 0.754680i −0.731412 0.681936i \(-0.761138\pi\)
0.997351 0.0727438i \(-0.0231755\pi\)
\(822\) 48.7910 32.3379i 1.70178 1.12791i
\(823\) −3.55852 6.16353i −0.124042 0.214847i 0.797316 0.603562i \(-0.206252\pi\)
−0.921358 + 0.388715i \(0.872919\pi\)
\(824\) −1.42334 23.0938i −0.0495843 0.804509i
\(825\) −15.2111 + 47.8335i −0.529583 + 1.66535i
\(826\) −0.812746 + 0.314860i −0.0282791 + 0.0109554i
\(827\) 38.6160 7.21857i 1.34281 0.251014i 0.537196 0.843457i \(-0.319484\pi\)
0.805612 + 0.592443i \(0.201837\pi\)
\(828\) −14.5176 + 34.3203i −0.504521 + 1.19271i
\(829\) −12.8481 13.2500i −0.446232 0.460192i 0.456924 0.889506i \(-0.348951\pi\)
−0.903155 + 0.429314i \(0.858755\pi\)
\(830\) 135.066 83.6296i 4.68823 2.90283i
\(831\) 24.1009 3.74388i 0.836051 0.129874i
\(832\) 40.6637 2.50805i 1.40976 0.0869511i
\(833\) 35.0749 + 28.2246i 1.21527 + 0.977926i
\(834\) −47.1027 + 51.6806i −1.63103 + 1.78955i
\(835\) 17.3918 + 13.9951i 0.601868 + 0.484321i
\(836\) 0.187706 + 0.443472i 0.00649194 + 0.0153378i
\(837\) −2.54252 41.0011i −0.0878823 1.41720i
\(838\) −10.2647 9.35748i −0.354587 0.323249i
\(839\) −18.4728 + 8.49883i −0.637751 + 0.293412i −0.710243 0.703957i \(-0.751415\pi\)
0.0724915 + 0.997369i \(0.476905\pi\)
\(840\) 2.07404 + 0.877597i 0.0715613 + 0.0302800i
\(841\) 20.7126 + 12.8247i 0.714227 + 0.442231i
\(842\) −10.9601 50.0454i −0.377711 1.72468i
\(843\) 29.0789 + 46.9524i 1.00153 + 1.61713i
\(844\) 18.1308 + 36.4115i 0.624086 + 1.25333i
\(845\) −13.9418 + 1.72637i −0.479614 + 0.0593891i
\(846\) 7.61093 17.9926i 0.261669 0.618599i
\(847\) −0.831435 0.322100i −0.0285685 0.0110675i
\(848\) 4.72838 + 4.87631i 0.162373 + 0.167453i
\(849\) 32.7567 + 11.5390i 1.12421 + 0.396016i
\(850\) 195.944 62.3342i 6.72081 2.13804i
\(851\) 19.3444 + 10.3877i 0.663116 + 0.356086i
\(852\) 4.20837 + 0.652783i 0.144176 + 0.0223640i
\(853\) −7.46728 + 26.2448i −0.255675 + 0.898604i 0.722596 + 0.691271i \(0.242949\pi\)
−0.978270 + 0.207333i \(0.933522\pi\)
\(854\) 0.851178 + 2.99158i 0.0291267 + 0.102370i
\(855\) −0.343080 0.972902i −0.0117331 0.0332726i
\(856\) −15.2706 3.84072i −0.521940 0.131273i
\(857\) 31.0488 + 16.6729i 1.06061 + 0.569534i 0.908094 0.418767i \(-0.137538\pi\)
0.152514 + 0.988301i \(0.451263\pi\)
\(858\) 24.7060 0.763919i 0.843449 0.0260798i
\(859\) 9.63420 27.3399i 0.328715 0.932824i −0.655399 0.755283i \(-0.727499\pi\)
0.984113 0.177541i \(-0.0568143\pi\)
\(860\) 1.42349 2.85876i 0.0485407 0.0974828i
\(861\) 1.16125 0.107735i 0.0395753 0.00367161i
\(862\) −9.85805 11.5064i −0.335766 0.391908i
\(863\) −7.49638 9.92682i −0.255180 0.337913i 0.652337 0.757929i \(-0.273789\pi\)
−0.907516 + 0.420017i \(0.862024\pi\)
\(864\) −34.3555 3.17201i −1.16880 0.107914i
\(865\) −6.38230 + 6.58196i −0.217005 + 0.223793i
\(866\) 73.0680 39.2367i 2.48295 1.33332i
\(867\) −40.1282 + 14.1456i −1.36283 + 0.480411i
\(868\) −1.71357 2.58604i −0.0581623 0.0877758i
\(869\) 2.37057 + 25.5825i 0.0804160 + 0.867827i
\(870\) 24.6944 + 27.0824i 0.837217 + 0.918180i
\(871\) 2.31437 + 4.00860i 0.0784194 + 0.135826i
\(872\) 7.70974 5.45761i 0.261085 0.184818i
\(873\) 30.5866 + 27.8709i 1.03520 + 0.943289i
\(874\) 0.470318 0.548957i 0.0159087 0.0185688i
\(875\) −0.808155 5.20622i −0.0273206 0.176002i
\(876\) −8.69816 22.4452i −0.293884 0.758352i
\(877\) −38.1803 7.13714i −1.28926 0.241004i −0.505910 0.862587i \(-0.668843\pi\)
−0.783349 + 0.621582i \(0.786490\pi\)
\(878\) −34.5773 81.6920i −1.16693 2.75697i
\(879\) 11.0667 + 34.7743i 0.373272 + 1.17291i
\(880\) −4.14522 7.17972i −0.139735 0.242028i
\(881\) 4.24890 + 7.35931i 0.143149 + 0.247941i 0.928681 0.370880i \(-0.120944\pi\)
−0.785532 + 0.618821i \(0.787611\pi\)
\(882\) 23.4546 40.6453i 0.789756 1.36860i
\(883\) −5.39606 + 0.332817i −0.181592 + 0.0112002i −0.152102 0.988365i \(-0.548604\pi\)
−0.0294902 + 0.999565i \(0.509388\pi\)
\(884\) −36.6989 48.5972i −1.23432 1.63450i
\(885\) 21.4417 + 7.55308i 0.720753 + 0.253894i
\(886\) −47.5450 11.9580i −1.59730 0.401738i
\(887\) −23.3808 21.3144i −0.785049 0.715667i 0.178283 0.983979i \(-0.442946\pi\)
−0.963332 + 0.268313i \(0.913534\pi\)
\(888\) 3.86823 20.7059i 0.129809 0.694844i
\(889\) 0.0612886 + 0.0715364i 0.00205555 + 0.00239925i
\(890\) −16.9002 + 22.3795i −0.566495 + 0.750161i
\(891\) −18.1806 2.24308i −0.609073 0.0751459i
\(892\) −21.7201 25.3518i −0.727242 0.848841i
\(893\) −0.148289 + 0.173084i −0.00496231 + 0.00579203i
\(894\) −57.6437 + 55.9074i −1.92789 + 1.86982i
\(895\) −28.2101 99.1483i −0.942961 3.31416i
\(896\) −1.87552 + 0.862876i −0.0626567 + 0.0288267i
\(897\) −10.5593 19.6587i −0.352565 0.656384i
\(898\) 2.13781 7.51363i 0.0713397 0.250733i
\(899\) −2.61178 16.8253i −0.0871076 0.561157i
\(900\) −57.4808 115.373i −1.91603 3.84577i
\(901\) 10.0881 46.0638i 0.336084 1.53461i
\(902\) 20.0730 + 12.4287i 0.668359 + 0.413830i
\(903\) 0.0453010 + 0.0300103i 0.00150752 + 0.000998682i
\(904\) 2.85317 + 18.3804i 0.0948950 + 0.611324i
\(905\) −12.8315 4.08198i −0.426532 0.135690i
\(906\) −1.87146 + 10.0176i −0.0621751 + 0.332811i
\(907\) −5.85720 11.7628i −0.194485 0.390579i 0.776359 0.630291i \(-0.217064\pi\)
−0.970844 + 0.239713i \(0.922947\pi\)
\(908\) −24.3941 69.2255i −0.809547 2.29733i
\(909\) −18.7804 24.8579i −0.622908 0.824484i
\(910\) −3.52296 + 1.89179i −0.116785 + 0.0627122i
\(911\) 0.455746 4.91828i 0.0150995 0.162950i −0.984846 0.173434i \(-0.944514\pi\)
0.999945 + 0.0104840i \(0.00333721\pi\)
\(912\) 0.116137 + 0.0491413i 0.00384567 + 0.00162723i
\(913\) −7.04058 + 32.1483i −0.233009 + 1.06395i
\(914\) −38.8627 + 58.6496i −1.28546 + 1.93996i
\(915\) 33.8980 73.7011i 1.12063 2.43648i
\(916\) −50.8395 40.9104i −1.67979 1.35172i
\(917\) 0.201638 + 2.17602i 0.00665868 + 0.0718586i
\(918\) 35.5237 + 66.1009i 1.17246 + 2.18165i
\(919\) −4.50095 + 9.03912i −0.148473 + 0.298173i −0.956897 0.290426i \(-0.906203\pi\)
0.808425 + 0.588599i \(0.200320\pi\)
\(920\) 22.7349 34.3104i 0.749548 1.13118i
\(921\) −3.07818 12.2331i −0.101429 0.403093i
\(922\) −3.60558 + 12.6723i −0.118743 + 0.417340i
\(923\) −1.88464 + 1.71808i −0.0620338 + 0.0565513i
\(924\) −1.27389 + 0.539356i −0.0419077 + 0.0177435i
\(925\) −70.8211 + 27.4363i −2.32858 + 0.902098i
\(926\) −0.467057 −0.0153484
\(927\) −21.8618 21.1911i −0.718035 0.696007i
\(928\) −14.3003 −0.469431
\(929\) −42.7374 + 16.5566i −1.40217 + 0.543203i −0.939261 0.343203i \(-0.888488\pi\)
−0.462908 + 0.886406i \(0.653194\pi\)
\(930\) −16.5182 + 133.519i −0.541653 + 4.37825i
\(931\) −0.404593 + 0.368835i −0.0132600 + 0.0120881i
\(932\) −9.58112 + 33.6741i −0.313840 + 1.10303i
\(933\) −10.1306 + 9.82546i −0.331661 + 0.321671i
\(934\) −14.6314 + 22.0810i −0.478755 + 0.722513i
\(935\) −25.6549 + 51.5219i −0.839004 + 1.68495i
\(936\) −14.8992 + 15.3721i −0.486995 + 0.502453i
\(937\) 3.74353 + 40.3991i 0.122296 + 1.31978i 0.806822 + 0.590794i \(0.201186\pi\)
−0.684526 + 0.728988i \(0.739991\pi\)
\(938\) −0.335580 0.270040i −0.0109571 0.00881712i
\(939\) −18.5784 26.2388i −0.606285 0.856272i
\(940\) −21.2545 + 32.0763i −0.693246 + 1.04621i
\(941\) 7.11155 32.4723i 0.231830 1.05857i −0.705116 0.709092i \(-0.749105\pi\)
0.936946 0.349475i \(-0.113640\pi\)
\(942\) −2.08748 16.8428i −0.0680138 0.548768i
\(943\) 1.96664 21.2234i 0.0640425 0.691129i
\(944\) −2.44824 + 1.31468i −0.0796836 + 0.0427892i
\(945\) 2.79471 0.985860i 0.0909119 0.0320700i
\(946\) 0.365607 + 1.03752i 0.0118869 + 0.0337326i
\(947\) 5.26886 + 10.5813i 0.171215 + 0.343846i 0.964106 0.265517i \(-0.0855428\pi\)
−0.792891 + 0.609363i \(0.791425\pi\)
\(948\) −50.1087 42.9209i −1.62746 1.39401i
\(949\) 13.7365 + 4.36989i 0.445905 + 0.141853i
\(950\) 0.383550 + 2.47087i 0.0124440 + 0.0801655i
\(951\) 2.48178 40.3103i 0.0804772 1.30715i
\(952\) 1.62495 + 1.00613i 0.0526649 + 0.0326087i
\(953\) 2.92106 13.3380i 0.0946225 0.432059i −0.905350 0.424666i \(-0.860392\pi\)
0.999973 0.00739365i \(-0.00235349\pi\)
\(954\) −49.0596 3.01500i −1.58836 0.0976142i
\(955\) 9.25011 + 59.5902i 0.299326 + 1.92829i
\(956\) 4.93781 17.3546i 0.159700 0.561288i
\(957\) −7.58909 0.232977i −0.245321 0.00753108i
\(958\) −30.2954 + 13.9381i −0.978799 + 0.450319i
\(959\) −0.536856 1.88685i −0.0173360 0.0609296i
\(960\) 95.1113 + 27.0501i 3.06970 + 0.873039i
\(961\) 20.4957 23.9227i 0.661152 0.771700i
\(962\) 24.3339 + 28.4027i 0.784557 + 0.915739i
\(963\) −18.2528 + 9.80673i −0.588187 + 0.316017i
\(964\) 12.1320 16.0653i 0.390745 0.517430i
\(965\) 13.4203 + 15.6643i 0.432015 + 0.504250i
\(966\) 1.57712 + 1.35089i 0.0507429 + 0.0434641i
\(967\) −26.1239 23.8151i −0.840089 0.765842i 0.134245 0.990948i \(-0.457139\pi\)
−0.974334 + 0.225106i \(0.927727\pi\)
\(968\) 15.1610 + 3.81315i 0.487294 + 0.122559i
\(969\) −0.160965 0.860558i −0.00517093 0.0276451i
\(970\) −81.6694 108.148i −2.62225 3.47241i
\(971\) 44.7952 2.76287i 1.43755 0.0886648i 0.676060 0.736846i \(-0.263686\pi\)
0.761486 + 0.648181i \(0.224470\pi\)
\(972\) 37.5248 28.3700i 1.20361 0.909969i
\(973\) 1.17175 + 2.02952i 0.0375644 + 0.0650635i
\(974\) 22.3215 + 38.6619i 0.715226 + 1.23881i
\(975\) 75.4034 + 16.5048i 2.41484 + 0.528578i
\(976\) 3.86531 + 9.13215i 0.123725 + 0.292313i
\(977\) −11.1752 2.08900i −0.357526 0.0668332i 0.00192251 0.999998i \(-0.499388\pi\)
−0.359448 + 0.933165i \(0.617035\pi\)
\(978\) 39.3032 48.8533i 1.25678 1.56216i
\(979\) −0.891152 5.74090i −0.0284813 0.183480i
\(980\) −60.1363 + 70.1914i −1.92098 + 2.24218i
\(981\) 2.65648 12.1427i 0.0848147 0.387686i
\(982\) 8.77853 6.21419i 0.280134 0.198303i
\(983\) 19.0904 + 33.0655i 0.608889 + 1.05463i 0.991424 + 0.130685i \(0.0417177\pi\)
−0.382535 + 0.923941i \(0.624949\pi\)
\(984\) −19.9737 + 4.37663i −0.636739 + 0.139522i
\(985\) −5.38472 58.1104i −0.171572 1.85155i
\(986\) 17.1805 + 25.9279i 0.547137 + 0.825713i
\(987\) −0.497258 0.425930i −0.0158279 0.0135575i
\(988\) 0.652432 0.350349i 0.0207566 0.0111461i
\(989\) 0.691345 0.712973i 0.0219835 0.0226712i
\(990\) 57.1738 + 18.1744i 1.81710 + 0.577620i
\(991\) −10.1355 13.4216i −0.321965 0.426351i 0.608035 0.793910i \(-0.291958\pi\)
−0.930000 + 0.367560i \(0.880193\pi\)
\(992\) −34.1531 39.8637i −1.08436 1.26567i
\(993\) −17.5581 + 38.1748i −0.557189 + 1.21144i
\(994\) 0.105782 0.212438i 0.00335519 0.00673814i
\(995\) −36.5147 + 103.621i −1.15759 + 3.28501i
\(996\) −44.4990 71.8505i −1.41000 2.27667i
\(997\) −30.2400 16.2385i −0.957710 0.514279i −0.0817443 0.996653i \(-0.526049\pi\)
−0.875965 + 0.482374i \(0.839775\pi\)
\(998\) −73.0537 18.3738i −2.31248 0.581611i
\(999\) −14.5996 23.5616i −0.461910 0.745457i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 927.2.y.a.781.14 yes 3264
9.4 even 3 927.2.z.a.472.89 yes 3264
103.91 even 51 927.2.z.a.709.89 yes 3264
927.400 even 51 inner 927.2.y.a.400.14 3264
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
927.2.y.a.400.14 3264 927.400 even 51 inner
927.2.y.a.781.14 yes 3264 1.1 even 1 trivial
927.2.z.a.472.89 yes 3264 9.4 even 3
927.2.z.a.709.89 yes 3264 103.91 even 51